Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
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Graduate Degree of multiplication map of a topological group
- Jamma
- · Replies 8 ·
Undergrad What is the formula for calculating the circumference of a circle on a sphere?
- jobyts
- · Replies 6 ·
Graduate How are differently ordered simplices identified in simplicial homology?
- wofsy
- · Replies 2 ·
Graduate Sudden confusion about definitions of singular homology
- Jamma
- · Replies 16 ·
Graduate Prove volume of a torus equation
- brandy
- · Replies 8 ·
Undergrad Shortest distance between lines .
- reazreaz
- · Replies 2 ·
Graduate Is There an Isomorphism Between G-Invariant Forms and De Rham Cohomology?
- neworder1
- · Replies 1 ·
Graduate Embedded torus in R³ and triviality of its tangent bundle
- aquarius
- · Replies 1 ·
Graduate How to find a trivialization of a torus
- aquarius
- · Replies 1 ·
Graduate Attaching maps in a product of CW-complexes
- mrbohn1
- · Replies 2 ·
High School Can curves be parallel to each other？
- mg1912
- · Replies 2 ·
Undergrad How can contour map data be used to determine volume?
- brandy
- · Replies 5 ·
Graduate Proving Ellipse When Viewing Circle with Non-Perpendicular Line of Sight
- redoxes
- · Replies 1 ·
Graduate Distance between two points on some surface
- exmachina
- · Replies 2 ·
Graduate Parallel transport analog of Stoke's theorem
- waht
- · Replies 10 ·
Graduate Proving That a Lorentzian Structure Cannot be Put on S^2
- MilesReid
- · Replies 1 ·
Graduate Curvature form of Cartan connections
- Ravid
- · Replies 6 ·
Graduate Coordinate transformation of contravariant vectors.
- trv
- · Replies 2 ·
Graduate Musings on the physicists/mathematicians barrier
- nrqed
- · Replies 70 ·
Graduate Index notation is driving me CRAZY
- AxiomOfChoice
- · Replies 12 ·
Graduate How Does Alexander-Whitney Duality Relate to Natural Transformations?
- wofsy
- · Replies 2 ·
Graduate Homology of a connected sum: What is the nth homology group of M#N?
- quasar987
- · Replies 8 ·
Graduate Why is the tangent space of a lie group manifold at the origin the lie algebra?
- Bobhawke
- · Replies 1 ·
Graduate How Is the Adjoint Boundary Operator Defined in Simplicial Complexes?
- wofsy
- · Replies 1 ·
Graduate What do I need to study to understand Perelman's proof?
- MathematicalPhysicist
- · Replies 8 ·
Undergrad Equation of a circle through 3 points in 3D space
- ady_mech
- · Replies 18 ·
Graduate Mathematica free tensor package?
- Reedeegi
- · Replies 1 ·
Graduate Image reflected from cone interior with right angle vertex
- Loren Booda
- · Replies 2 ·
Graduate Linkage analysis using intersection of three sphere
- KLoux
- · Replies 1 ·
Graduate Trouble understanding derivation of covariant derivative
- bibalasvegas
- · Replies 1 ·
Graduate Can a spinning thread form a helix through gravity and force?
- Mammo
- · Replies 1 ·
Graduate What mistake did I make in proving that all tangent bundles are trivial?
- eok20
- · Replies 3 ·
Graduate Convergence of iterated contractions in Sierpinski triangle
- aridneptune
- · Replies 1 ·
Undergrad Expressing area in terms of perimeter for plane figures
- jason17349
- · Replies 4 ·
Graduate Induced map Tor(A,B)→Tor(B,A) in Hatcher Proposition 3A.5
- quasar987
- · Replies 1 ·
Graduate How are these two proofs for the compactness of [a,b] equivalent?
- Extropy
- · Replies 2 ·
Graduate Why do rotations and reflections behave differently in R^2 and R^3?
- Bobhawke
- · Replies 7 ·
Graduate Algebraic topology, groups and covering short, exact sequences
- KG1
- · Replies 1 ·
Graduate Algebra question in algebraic topology
- quasar987
- · Replies 1 ·
Graduate Best high-level introduction to classic geometry?
- desti
- · Replies 1 ·
Graduate Intersection Form in 4-D. Followup.
- WWGD
- · Replies 20 ·
Graduate Jordan-Brouwer separation theorem
- quasar987
- · Replies 17 ·
Undergrad Formula for Area of Overlapping Rings?
- jpg15
- · Replies 3 ·
Graduate Surface representative of homology class.
- WWGD
- · Replies 15 ·
Graduate Proving H and its closure are topological groups when H is a subgroup
- tomboi03
- · Replies 1 ·
Graduate Surface Homeomorphism Between Cubes and Spheres?
- e12514
- · Replies 1 ·
Graduate Topological Groups to Properties and Solutions
- tomboi03
- · Replies 1 ·
Graduate Proving Invariance of Domain Theorem
- Ja4Coltrane
- · Replies 1 ·
Graduate Algebraic Topology: Showing Cone(L(X,x)) is Homeomorphic to P(X,x)
- nughret
- · Replies 4 ·
Graduate Normal subgroup; topological group
- tomboi03
- · Replies 1 ·
High School How to get the coordinates inside
- sarah22
- · Replies 1 ·
Undergrad Index notation for r_j r_i p_j
- AxiomOfChoice
- · Replies 3 ·
Graduate What Determines the Degree of a Continuous Map Between Spheres?
- quasar987
- · Replies 1 ·
Graduate Homology of S^n x R: Hatcher's Theorem 2B.1
- quasar987
- · Replies 6 ·
Graduate Bundles and global sections, triviality.
- WWGD
- · Replies 6 ·
Graduate Uncountable Homology Classes in Hawaiian Earrings?
- tannenbaum
- · Replies 5 ·
Graduate Why Is the Inverse Image of a Regular Value in an Immersion a Finite Set?
- WWGD
- · Replies 3 ·
Graduate Is every open cover a basic open cover?
- de_brook
- · Replies 11 ·
Graduate Simplifying (r̂ × ∇) × r̂ with index notation
- AxiomOfChoice
- · Replies 1 ·
Graduate About the definition of local degree
- quasar987
- · Replies 2 ·
Graduate Question of algebraic flavor in algebraic topolgy
- quasar987
- · Replies 2 ·
Undergrad What is the next number in the sequence?
- aykantspel
- · Replies 1 ·
Graduate Defining integrals of 1-forms without parametrization
- mma
- · Replies 8 ·
Graduate Handles and non-orientible 3D manifolds
- bsaucer
- · Replies 1 ·
Graduate Inclusions of submflds. and diffeomorphisms.
- WWGD
- · Replies 1 ·
Graduate Compactification and Extension of maps.
- WWGD
- · Replies 0 ·
Graduate Induced Orientation on Mfld. Boundary.
- WWGD
- · Replies 3 ·
Graduate Inverse of tensor using Einstein notation
- bdforbes
- · Replies 5 ·
Graduate Understanding Open and Closed Sets in Metric Spaces
- Bobhawke
- · Replies 7 ·
Undergrad Calculating Distance on a Spherical Earth Using Trigonometry
- thharrimw
- · Replies 5 ·
Graduate How to encode direction information?
- mnb96
- · Replies 2 ·
Graduate Homology of the Klein Bottle using M-V sequences
- quasar987
- · Replies 3 ·
Graduate Orientations of curves and diffeomorphism
- WWGD
- · Replies 1 ·
Undergrad Calc height of cone with only volume and angle
- rustys111
- · Replies 3 ·
Undergrad Interactive Visualization for Adding/Subtracting Planes
- starlightx
- · Replies 5 ·
Graduate Homology of spheres from the M-V sequence
- quasar987
- · Replies 5 ·
Undergrad How do you get the Klein Bottle from two Möbius Strips?
- quasar987
- · Replies 2 ·
Graduate Why Euclidean half-space is not homeomorphic to an open set of R^n
- eok20
- · Replies 7 ·
Graduate Riemann Geometry: Where is the Flaw in My Thinking?
- Gear300
- · Replies 5 ·
Graduate Homotopy classes of loops in the annulus {z: 0<a<|z|<b}
- WWGD
- · Replies 8 ·
Graduate Are two definitions of Lie derivative equivalent?
- mma
- · Replies 23 ·
Graduate Open subspace of a compact space
- de_brook
- · Replies 7 ·
Graduate Is Professor Rudin's Reasoning in Theorem 1.10 Correct?
- Edwin
- · Replies 1 ·
High School Solving the Cylinder Volume Problem
- Paradiselovek
- · Replies 1 ·
Graduate Show Uniform Convergence of Sequence of Functions on Set X
- tomboi03
- · Replies 3 ·
Graduate Radii of curvature for pseudosphere
- 3cats
- · Replies 1 ·
Graduate Clarifying Topology Basics: What is U?
- tomboi03
- · Replies 3 ·
Graduate Is [0,1] Open or Closed in the Metric Space [0,1] U [2,3]?
- titas_1979
- · Replies 3 ·
Graduate Are Generalized Coordinates Necessary for Simplifying Complex Systems?
- Tac-Tics
- · Replies 4 ·
Graduate Homology Q: Hatcher Top Page 125 - Isomorphism Explanation
- quasar987
- · Replies 2 ·
Graduate Convergence of fn: R->R to f: R->R
- tomboi03
- · Replies 2 ·
Undergrad Arc Length to Radius Ratio: Why Equal?
- wajed
- · Replies 9 ·
Undergrad Similar Triangles Formed by Diagonals of Quadrilateral in Circle
- seeker101
- · Replies 1 ·
Graduate 4D angular coordinate system and corresponding hypervolume element
- areslagae
- · Replies 3 ·
Graduate Diffeomorphism vs. homeomorphism
- quasar_4
- · Replies 13 ·
Graduate Vector Fields on S^2, 0 only at 1 point.
- WWGD
- · Replies 3 ·
Graduate What Is the Difference Between a Closed Set and a Complete Set in Topology?
- davidebianco1
- · Replies 11 ·
Graduate Is the Tangent Bundle of the 2-Sphere Trivial?
- Sephi
- · Replies 8 ·
Graduate Change of Coordinate for V.Field in Mfld.
- WWGD
- · Replies 5 ·
Graduate Difference between A^ν A_μ and A^μ A_μ in tensor notation
- AxiomOfChoice
- · Replies 2 ·